Y=5K/5L4/5, where Y is output, K is capital, and L is labor. Firms are price-takers and maximize profits. All markets clear. (a) Does the production function satisfy constant returns to scale? (b) Imagine that a hurricane destroys a significant amount of capital but affects neither labor nor technology. (i) Will the equilibrium real WAGE increase, decrease, or stay the same? (ii) Will the equilibrium real RENTAL RATE increase, decrease, or stay the same? (iii) Will total CAPITAL INCOME (the total income of the owners of capital) increase, decrease, or stay the same?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A closed economy has the following production function:
Y=5K\/SL4/5
where Y is output, K is capital, and L is labor. Firms are price-takers and maximize profits. All markets clear.
(a) Does the production function satisfy constant returns to scale?
(b) Imagine that a hurricane destroys a significant amount of capital but affects neither labor nor technology.
(i) Will the equilibrium real WAGE increase, decrease, or stay the same?
(ii) Will the equilibrium real RENTAL RATE increase, decrease, or stay the same?
(iii) Will total CAPITAL INCOME (the total income of the owners of capital) increase, decrease, or stay the same?
Transcribed Image Text:A closed economy has the following production function: Y=5K\/SL4/5 where Y is output, K is capital, and L is labor. Firms are price-takers and maximize profits. All markets clear. (a) Does the production function satisfy constant returns to scale? (b) Imagine that a hurricane destroys a significant amount of capital but affects neither labor nor technology. (i) Will the equilibrium real WAGE increase, decrease, or stay the same? (ii) Will the equilibrium real RENTAL RATE increase, decrease, or stay the same? (iii) Will total CAPITAL INCOME (the total income of the owners of capital) increase, decrease, or stay the same?
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